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This paper addresses the problem of filtering with a state-space model. Standard approaches for filtering assume that a probabilistic model for observations (i.e. the observation model) is given explicitly or at least parametrically. We…

Machine Learning · Statistics 2015-10-23 Motonobu Kanagawa , Yu Nishiyama , Arthur Gretton , Kenji Fukumizu

We consider a reinforcement learning setting introduced in (Maillard et al., NIPS 2011) where the learner does not have explicit access to the states of the underlying Markov decision process (MDP). Instead, she has access to several models…

Machine Learning · Computer Science 2014-09-16 Ronald Ortner , Odalric-Ambrym Maillard , Daniil Ryabko

Human motion prediction has traditionally been framed as a sequence regression problem where models extrapolate future joint coordinates from observed pose histories. While effective over short horizons this approach does not separate…

Computer Vision and Pattern Recognition · Computer Science 2026-01-08 Sarim Chaudhry

Stochastic programming models can lead to very large-scale optimization problems for which it may be impossible to enumerate all possible scenarios. In such cases, one adopts a sampling-based solution methodology in which case the…

Optimization and Control · Mathematics 2024-05-20 Shuotao Diao , Suvrajeet Sen

In this work we propose an adaptive multilevel version of subset simulation to estimate the probability of rare events for complex physical systems. Given a sequence of nested failure domains of increasing size, the rare event probability…

Numerical Analysis · Mathematics 2023-12-13 Daniel Elfverson , Robert Scheichl , Simon Weissmann , F. Alejandro DiazDelaO

Nested simulation is a natural approach to tackle nested estimation problems in operations research and financial engineering. The outer-level simulation generates outer scenarios and the inner-level simulations are run in each outer…

Risk Management · Quantitative Finance 2022-03-31 Kun Zhang , Ben Mingbin Feng , Guangwu Liu , Shiyu Wang

In this paper, the problem of state estimation, in the context of both filtering and smoothing, for nonlinear state-space models is considered. Due to the nonlinear nature of the models, the state estimation problem is generally intractable…

Machine Learning · Statistics 2021-11-24 Jarrad Courts , Adrian Wills , Thomas B. Schön

Resilient state recovery of cyber-physical systems has attracted much research attention due to the unique challenges posed by the tight coupling between communication, computation, and the underlying physics of such systems. By modeling…

Optimization and Control · Mathematics 2025-07-31 Yu Zheng , Olugbenga Moses Anubi , Warren E. Dixon

Dataset distillation extracts a small set of synthetic training samples from a large dataset with the goal of achieving competitive performance on test data when trained on this sample. In this work, we tackle dataset distillation at its…

Machine Learning · Computer Science 2023-11-14 Yunzhen Feng , Ramakrishna Vedantam , Julia Kempe

Modern machine learning datasets can have biases for certain representations that are leveraged by algorithms to achieve high performance without learning to solve the underlying task. This problem is referred to as "representation bias".…

Computer Vision and Pattern Recognition · Computer Science 2019-04-18 Yi Li , Nuno Vasconcelos

The note studies the problem of selecting a good enough subset out of a finite number of alternatives under a fixed simulation budget. Our work aims to maximize the posterior probability of correctly selecting a good subset. We formulate…

Optimization and Control · Mathematics 2023-05-09 Gongbo Zhang , Bin Chen , Qing-shan Jia , Yijie Peng

Complex phenomena in engineering and the sciences are often modeled with computationally intensive feed-forward simulations for which a tractable analytic likelihood does not exist. In these cases, it is sometimes necessary to estimate an…

Methodology · Statistics 2020-06-18 Niccolò Dalmasso , Ann B. Lee , Rafael Izbicki , Taylor Pospisil , Ilmun Kim , Chieh-An Lin

Reinforcement learning has the potential to automate the acquisition of behavior in complex settings, but in order for it to be successfully deployed, a number of practical challenges must be addressed. First, in real world settings, when…

Machine Learning · Computer Science 2020-11-11 Kelvin Xu , Siddharth Verma , Chelsea Finn , Sergey Levine

One possible approach to tackle the class imbalance in classification tasks is to resample a training dataset, i.e., to drop some of its elements or to synthesize new ones. There exist several widely-used resampling methods. Recent research…

Machine Learning · Computer Science 2018-09-18 Smolyakov Dmitry , Alexander Korotin , Pavel Erofeev , Artem Papanov , Evgeny Burnaev

Suppose a planner has a pre-trained simulator of a sequential decision problem and the option to run real experiments in the field. The simulator is cheap to query but inherits confounding and drift from its calibration data.…

Artificial Intelligence · Computer Science 2026-05-21 Harsh Parikh , Gabriel Levin-Konigsberg , Dominique Perrault-Joncas , Alexander Volfovsky

Value-function approximation methods that operate in batch mode have foundational importance to reinforcement learning (RL). Finite sample guarantees for these methods often crucially rely on two types of assumptions: (1) mild distribution…

Machine Learning · Computer Science 2019-05-02 Jinglin Chen , Nan Jiang

Belief revision is the process in which an agent incorporates a new piece of information together with a pre-existing set of beliefs. When the new information comes in the form of a report from another agent, then it is clear that we must…

Artificial Intelligence · Computer Science 2014-05-02 Aaron Hunter

We develop a methodology for constructing confidence sets for parameters of statistical models via a reduction to sequential prediction. Our key observation is that for any generalized linear model (GLM), one can construct an associated…

Statistics Theory · Mathematics 2025-04-24 Eugenio Clerico , Hamish Flynn , Wojciech Kotłowski , Gergely Neu

Estimation and inference in dynamic discrete choice models often relies on approximation to lower the computational burden of dynamic programming. Unfortunately, the use of approximation can impart substantial bias in estimation and results…

Econometrics · Economics 2020-10-23 Ben Deaner

Reachability analysis is at the core of many applications, from neural network verification, to safe trajectory planning of uncertain systems. However, this problem is notoriously challenging, and current approaches tend to be either too…

Systems and Control · Electrical Eng. & Systems 2020-11-10 Thomas Lew , Marco Pavone
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